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Finding the Fourth Proportional to 332.68, 459.07 and 185.31

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Solution

The fourth proportional to 332.68, 459.07 and 185.31 is: 255.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.68 : 459.07 = 185.31 : x
  2. Step 2: Convert to fraction form
    332.68/459.07 = 185.31/x
  3. Step 3: Cross multiply
    332.68x = 459.07 × 185.31
  4. Step 4: Simplify right side
    332.68x = 85,067.97
  5. Step 5: Solve for x
    x = 85,067.97/332.68
  6. Step 6: Final answer
    x = 255.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.